Writing Equations
Amy made m dollars selling cookies. Monique made $47 selling cookies. Together, they made $62. Write an equation that can be used to determine how much money Amy made.
m+47=62
5x=125
x=25
4m+8=32
m=6
3(x+4)=27
x=5
6+(5+8)*4
58
6r+7=13+7r
r=-6
P=IRT
Solve for the indicated variable
(T)
P/(IR)=T
Erik has four times as many baseball cards as Gerry. Together, they have 160 cards. Write an equation that can be used to determine how many baseball cards each boy has.
4g+g=160
9+y=12
y=3
x/2-4=20
x=48
(r+9)/3=6
r=9
(17-12)-9*4
-31
6x-4=2x+4
x=2
y=5x-6
Solve for the indicated variable
(x)
(y+6)/5=x or y/5+6/5=x
Two more than half the number r is 50.
1/2r+2=50
x/2=20
x=4
14+2m=22
m=4
2m-5-m+7=4
m=2
9+6-:(8-2)
10
-10+x+4-5=7x-5
x=-1
(x+y)/3=5
Solve for the indicated variable
(x)
x=15-y or x=-y+15
Nine less than triple a number, u is 11.
3u-9=11
4m=28
m=7
x/3-3=15
x=54
18=5-(2x-7)
x=-3
42+20-:10-18
26
4(-8x+5)=-32x-26
No solution
A=2(L+W)
Solve for the indicated variable
(W)
A/2-L=W
Millie went shopping and spent $40 more than half of what Allie spent. Millie spent $100. Write an equation that can be used to determine how much money Allie spent.
1/2A+40=100
r-15=15
r=30
8p-6=34
p=5
5+2(x+1)=15
x=4
(10+2^2)*7-3^3
71
8x+4(4x+3)=4(6x+4)-4
Infinitely many solutions
2x-3y=8
Solve for the indicated variable
(y)
y=2/3x-8/3
There are four times as many students in 8th grade this year than there were 10 years ago. If there are 466 students in 8th grade this year, write an equation that can be used to determine how many students were in 8th grade 10 years ago.
4x=466
x=-27
x=-27
10+x/4=12
x=8
(s+5)4-1=31
s=3
3*(5+8)-2^2-:4+3
41
-3(x-1)+8(x-3)=6x+7-5x
x=7
P=(R-C)/N
Solve for the indicated variable
(R)
PN-C=R